SSC CHSL MATHS QUIZ

Question 1:

If $x^{4}+x^{2} y^{2}+y^{4}=3441$ and $x^{2}-x y+y^{2}=37$ then find the value of $x+y+x y$

39

26

52

65

Question 2:

If $a+b+c=9$ and $a b+b c+ca=18$, then find the value of $a^{3}+b^{3}+$ $c^{3}-3 a b c$

243

576

676

457

Question 3:

If $a^{2}-b^{2}=55$ and $a+b=11$ then find the value of $\frac{a^{3}+b^{3}}{a-b}$ ?

$\frac{524}{5}$

$\frac{529}{5}$

$\frac{539}{5}$

$\frac{589}{4}$

Question 4:

If $x^{3}+2 x^{2}+a x+b$ is exactly divisible by $\left(x^{2}-9\right)$, then the value of $(a-b)$ is:

$-27$

$-9$

27

9

Question 5:

If $x-\frac{1}{x}=3$, then what is the value of $\frac{2 x^{4}+3 x^{3}+13 x^{2}-3 x+2}{\left(3 x^{4}+3\right)}$

$\frac{1}{3}$

$\frac{2}{5}$

$\frac{4}{3}$

$\frac{5}{3}$

Question 6:

$a b(a-b)+b c(b-c)+c a(c-a)$ is equal to :

$(a+b)(b-c)(c-a)$

$(a-b)(b-c)(c-a)$

$(b-a)(b-c)(c-a)$

$(a-b)(b+c)(c-a)$

Question 7:

If $a^{2}+b^{2}=10 b-34-6 a$, find $(b-a)$ :

$2$

$-2$

$-8$

$8$

Question 8:

If $x=7+4 \sqrt{3}$, then the value of $\sqrt{x}-\frac{1}{\sqrt{x}}$ is:

$4 $

$\sqrt{10}$

$3 \sqrt{2}$

$2 \sqrt{3}$

Question 9:

If $ a=2 b=8 c$ and $a+b+c=13$ then the value of $\frac{\sqrt{a^{2}+b^{2}+c^{2}}}{2 c}$ is?

$\frac{11}{2}$

$\frac{7}{4}$

$\frac{9}{2}$

$\frac{13}{2}$

Question 10:

If $x^{2}-4 x+1=0$ then $x^{6}+\frac{1}{x^{6}}=?$

2702

2686

2798

2698